(a)

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :


(b) The series

converges by comparison to the convergent <em>p</em>-series,

(c) The series

converges absolutely, since

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.
Answer:
See Explanation Below
Step-by-step explanation:
Given

Required
Prove
To start with; we open the bracket on the left hand side




Reorder

From trigonometry;

So;

becomes

Also from trigonometry;

So,

becomes

Proved
Answer:
24 students.
Step-by-step explanation:
25% is 1/4 of 100.
6*4= The number of students.
Answer:
f = (9c/5) + 32
Step-by-step explanation:
im pretty sure maybe